1. For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) (1 point) What conditions should you check first before you con- duct the hypothesis test? (b) (1 point) Write the null and alternative hypotheses. (c) (1 point) What type of test are you doing: right-tailed, left-tailed or two-tailed? (d) (1 point) What formula should be used for the test statistic? (e) (1 point) What number is the test statistic equal to? (f) (2 points) Sketch a graph of the p-value (g) (1 point) What p-value do you obtain? Round to the ten-thousandths. (h) (1 point) Do you reject the null hypothesis or fail to reject the null hypothesis? Explain. (i) (1 point) Please write a conclusion sentence, in the context of the problem, that explains to a lay person the result of the hypothesis test. 3. A university employment office wants to compare the time taken by graduates with three different majors to find their first full-time job after graduation. The following table lists the time (in days) taken to find their first full-time job after graduation for a random sam- ple of eight business majors, seven computer science majors, and six engineering majors who graduated in May 2009. BUSINESS | COMPUTER SCIENCE| ENGINEERING 136 156 126 162 113 151 135 124 163 180 128 146 148 144 178 127 147 134 176 120 144 At the 5% significance level, can you conclude that the mean time taken to find their first full-time job for all May 2019 graduates in these fields is the same? Assume the conditions for the ANOVA test check out